What is the probability that a number chosen at random from the intergers between 1 and 10 inclusive is either a prime or a multiple of 3?

A.

\(\frac{7}{10}\)

B.

\(\frac{3}{5}\)

C.

\(\frac{4}{5}\)

D.

\(\frac{3}{10}\)

Correct answer is B

Simple Space: (1, 2, 3, 4, 5, 6, 7, 8, 9, 10 = 10)

Prime: (2, 3, 5, 7)

multiples of 3: (3, 6, 9)

Prime or multiples of 3: (2, 3, 5, 6, 7, 9 = 6)

Probability = \(\frac{6}{10}\)

= \(\frac{3}{5}\)